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Finding the Fourth Proportional to 9,567.13, 14,352.78 and 4,017.31

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Solution

The fourth proportional to 9,567.13, 14,352.78 and 4,017.31 is: 6,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.13 : 14,352.78 = 4,017.31 : x
  2. Step 2: Convert to fraction form
    9,567.13/14,352.78 = 4,017.31/x
  3. Step 3: Cross multiply
    9,567.13x = 14,352.78 × 4,017.31
  4. Step 4: Simplify right side
    9,567.13x = 57,659,566.62
  5. Step 5: Solve for x
    x = 57,659,566.62/9,567.13
  6. Step 6: Final answer
    x = 6,026.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.